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Prove that st. line 5x -2y - 1 = 0 is mi...

Prove that st. line 5x -2y - 1 = 0 is mid-parailel to the st. lines : 5x - 2y -9 =0 and 5x - 2y + 7 = 0.

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Find the acute angles between the st. lines : 2x-y+3=0 and x+y-2=0 .

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Find the equation of the st. line that has y -intercept 4 and is parallel to the st. line 2x -3y = 7 .

Find the equation of the line passing through the intersection of the lines x + 2y - 3 = 0 and 4x - y + 7 = 0 and which is parallel to 5x - 4y - 20 = 0 .

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Prove that the equations of the st. lines x+y-1=0 and x-y-1= 0 can be written as x + y = 0 and x-y = 0 by shifting the origin to a suitable point.

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If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y - 5 = 0 and 3x - 2y + 7 = 0 is always 10. Show that P must move on a line.

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Prove that st. line 5x -2y - 1 = 0 is mid-parailel to the st. lines : ...

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  2. What is the slope of the line whose inclination is : 0^@ ?

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  3. What is the slope of the line whose inclination is : 60^@ ?

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  4. What is the slope of the line whose inclination is : 45^@ ?

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  5. What is the slope of the line whose inclination is : 90^@ ?

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  6. What is the slope of the line whose inclination is : 120^@ ?

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  7. What is the slope of the line whose inclination is : 150^@ ?

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  8. Find the slope of the line, which makes an angle of 30^@ with the posi...

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  9. Find the inclination of the line whose slope is : 1.

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  10. Find the inclination of the line whose slope is : 1/4 .

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  11. Find the inclination of the line whose slope is : 3.

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  12. Find the inclination of the line whose slope is : 0.

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  13. Find the angle between x-axis and the line joining the points (3,-1) a...

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  14. Find the slope of the line through the points : (1, 2), (4, 2).

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  15. Find the slope of the line through the points : (0, - 4), (- 6, 2).

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  16. Find the slope of the line through the points (4,-6)(-2,-5)

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  17. Find the slope of the line through the points : (4, 6), (2,12)

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  18. Find the slope of the line through the points : (3, -2), (3, 4).

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  19. Find the slope of a line, whch passes through the origin and the mid-p...

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  20. What acute angle does a line of slope (-2)/3 make with a vertical line...

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  21. Show that the line joining the points (2,-3)and (-5,1) is parallel to ...

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